(3x-6)-(10x-2)=10

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Solution for (3x-6)-(10x-2)=10 equation:


Simplifying
(3x + -6) + -1(10x + -2) = 10

Reorder the terms:
(-6 + 3x) + -1(10x + -2) = 10

Remove parenthesis around (-6 + 3x)
-6 + 3x + -1(10x + -2) = 10

Reorder the terms:
-6 + 3x + -1(-2 + 10x) = 10
-6 + 3x + (-2 * -1 + 10x * -1) = 10
-6 + 3x + (2 + -10x) = 10

Reorder the terms:
-6 + 2 + 3x + -10x = 10

Combine like terms: -6 + 2 = -4
-4 + 3x + -10x = 10

Combine like terms: 3x + -10x = -7x
-4 + -7x = 10

Solving
-4 + -7x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -7x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 10 + 4
-7x = 10 + 4

Combine like terms: 10 + 4 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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